In mathematics, the Kontsevich quantization formula describes how to construct a generalized ★-product operator algebra from a given arbitrary finite-dimensional Poisson manifold. This operator algebra amounts to the deformation quantization of the corresponding Poisson algebra. It is due to Maxim Kontsevich. (Wikipedia).
Kolmogorov Complexity - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Maxim Kontsevich - 1/6 Resurgence and Quantization
There are two canonical ``quantizations'' of symplectic manifolds: \begin{itemize} \item Deformation quantization, associating with any ($C^\infty$, analytic, algebraic over field of characteristic zero) symplectic manifold $(M,\omega)$ a sheaf of catgeories, which is locally equivalent
From playlist Maxim Kontsevich - Resurgence and Quantization
Maxim Kontsevich - 4/6 Resurgence and Quantization
There are two canonical ``quantizations'' of symplectic manifolds: \begin{itemize} \item Deformation quantization, associating with any ($C^\infty$, analytic, algebraic over field of characteristic zero) symplectic manifold $(M,\omega)$ a sheaf of catgeories, which is locally equivalent
From playlist Maxim Kontsevich - Resurgence and Quantization
Maxim Kontsevich - 6/6 Resurgence and Quantization
There are two canonical ``quantizations'' of symplectic manifolds: \begin{itemize} \item Deformation quantization, associating with any ($C^\infty$, analytic, algebraic over field of characteristic zero) symplectic manifold $(M,\omega)$ a sheaf of catgeories, which is locally equivalent
From playlist Maxim Kontsevich - Resurgence and Quantization
Maxim Kontsevich - 3/6 Resurgence and Quantization
There are two canonical ``quantizations'' of symplectic manifolds: \begin{itemize} \item Deformation quantization, associating with any ($C^\infty$, analytic, algebraic over field of characteristic zero) symplectic manifold $(M,\omega)$ a sheaf of catgeories, which is locally equivalent
From playlist Maxim Kontsevich - Resurgence and Quantization
Sergei Konyagin: On sum sets of sets having small product set
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
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Julie Rowlett: A Polyakov formula for sectors
Abstract: Polyakov's formula expresses a difference of zeta-regularized determinants of Laplace operators, an anomaly of global quantities, in terms of simple local quantities. Such a formula is well known in the case of closed surfaces (Osgood, Philips, & Sarnak 1988) and surfaces with sm
From playlist Women at CIRM
Non-commutative motives - Maxim Kontsevich
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Maxim Kontsevich Institute for Advanced Study October 20, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a fo
From playlist Pierre Deligne 61st Birthday
Finding the sum or an arithmetic series using summation notation
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Erik Panzer: Multiple zeta values in deformation quantization
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: Maxim Kontsevich gave a universal formula for the quantization of Poisson brackets (the star product), as a formal power series in differentia
From playlist Workshop: "Amplitudes and Periods"
Maxim Kontsevich - 2/6 Resurgence and Quantization
There are two canonical ``quantizations'' of symplectic manifolds: \begin{itemize} \item Deformation quantization, associating with any ($C^\infty$, analytic, algebraic over field of characteristic zero) symplectic manifold $(M,\omega)$ a sheaf of catgeories, which is locally equivalent
From playlist Maxim Kontsevich - Resurgence and Quantization
Maxim Kontsevich - 5/6 Resurgence and Quantization
There are two canonical ``quantizations'' of symplectic manifolds: \begin{itemize} \item Deformation quantization, associating with any ($C^\infty$, analytic, algebraic over field of characteristic zero) symplectic manifold $(M,\omega)$ a sheaf of catgeories, which is locally equivalent
From playlist Maxim Kontsevich - Resurgence and Quantization
Alexander Goncharov - 3/4 Quantum Geometry of Moduli Spaces of Local Systems...
Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory Lectures 1-3 are mostly based on our recent work with Linhui Shen. Given a surface S with punctures and special points on the boundary considered modulo isotopy, and a split semi-simple adjoint group G, we defin
From playlist Alexander Goncharov - Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory
